In this paper, we study the problem of maximizing the number of concurrent requests and the problem of minimizing the number of time-slots needed to schedule all requests in wireless networks under the physical interference model. It has been proved that both problems are NP-complete in . Thus either approximation algorithms with guaranteed approximation factors or effective heuristics with practically good performances are desirable. We focus on the latter and present simple and effective heuristic algorithms for these two problems. Extensive experiments show that our algorithm for the first problem outperforms the best approximation algorithm by 62%-72% on average, and our two algorithms for the second problem give the best results among existing algorithms.